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Finding the Third Proportional to 38,662.31 and 42,732.56

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Solution

The third proportional to 38,662.31 and 42,732.56 is: 47,231.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,662.31 : 42,732.56 = 42,732.56 : x
  2. Step 2: Convert to fraction form
    38,662.31/42,732.56 = 42,732.56/x
  3. Step 3: Cross multiply
    38,662.31x = 42,732.56 × 42,732.56
  4. Step 4: Simplify right side
    38,662.31x = 1,826,071,897.82
  5. Step 5: Solve for x
    x = 1,826,071,897.82/38,662.31
  6. Step 6: Final answer
    x = 47,231.32

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.